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Finding the Fourth Proportional to 1,759.78, 2,429.10 and 1,170.46

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Solution

The fourth proportional to 1,759.78, 2,429.10 and 1,170.46 is: 1,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.78 : 2,429.10 = 1,170.46 : x
  2. Step 2: Convert to fraction form
    1,759.78/2,429.10 = 1,170.46/x
  3. Step 3: Cross multiply
    1,759.78x = 2,429.10 × 1,170.46
  4. Step 4: Simplify right side
    1,759.78x = 2,843,164.39
  5. Step 5: Solve for x
    x = 2,843,164.39/1,759.78
  6. Step 6: Final answer
    x = 1,615.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.